The Experts below are selected from a list of 138 Experts worldwide ranked by ideXlab platform
V. N. Tarasov - One of the best experts on this subject based on the ideXlab platform.
-
ANALYSIS OF H2/E2/1 SYSTEM AND HER OF THE ANALOG WITH Shifted Input DISTRIBUTIONS
Radio Electronics Computer Science Control, 2020Co-Authors: V. N. TarasovAbstract:Context. In the queuing theory of a research of the G/G/1 systems are relevant because it is impossible to receive decisions for the average waiting time in queue in a final form in case of arbitrary laws of distributions of an Input flow and service time. Therefore, the study of such systems for particular cases of Input distributions is important. The problem of finding a solution for the average waiting time in queue in a closed form for two systems with ordinary and Shifted hyperexponential and erlangian Input distributions is considered. Objective. Obtaining a solution for the main system characteristic – the average waiting time in queue for two queuing systems of type G/G/1 with ordinary and Shifted hyperexponential and erlangian Input distributions. Method. To solve this problem, we used the classical method of spectral decomposition of the solution of the Lindley integral equation. This method allows to obtaining a solution for the average waiting time for systems under consideration in a closed form. The method of spectral decomposition of the solution of the Lindley integral equation plays an important role in the theory of systems G/G/1. For the practical application of the results obtained, the well-known method of moments of probability theory is used. Results. The spectral decompositions of the solution of the Lindley integral equation for a pair of dual systems are for the first time received, with the help of which the formulas for the average waiting time in a closed form are derived. Conclusions. The spectral expansions of the solution of the Lindley integral equation for the systems under consideration are obtained and with their help the formulas for the average waiting time in the queue for these systems in a closed form are derived. It is shown that in systems with a time lag, the average waiting time is less than in conventional systems The obtained formula for the average waiting time expands and complements the well-known queuing theory incomplete formula for the average waiting time for G/G/1 systems with arbitrary laws of the Input flow distribution and service time. This approach allows us to calculate the average latency for these systems in mathematical packages for a wide range of traffic parameters. All other characteristics of the systems are derived from the waiting time. In addition to the average waiting time, such an approach makes it possible to determine also moments of higher orders of waiting time. Given the fact that the packet delay variation (jitter) in telecommunications is defined as the spread of the waiting time from its average value, the jitter can be determined through the variance of the waiting time. The results are published for the first time.
-
analysis of h2 e2 1 system and her of the analog with Shifted Input distributions
Radio Electronics Computer Science Control, 2020Co-Authors: V. N. TarasovAbstract:Context. In the queuing theory of a research of the G/G/1 systems are relevant because it is impossible to receive decisions for the average waiting time in queue in a final form in case of arbitrary laws of distributions of an Input flow and service time. Therefore, the study of such systems for particular cases of Input distributions is important. The problem of finding a solution for the average waiting time in queue in a closed form for two systems with ordinary and Shifted hyperexponential and erlangian Input distributions is considered. Objective. Obtaining a solution for the main system characteristic – the average waiting time in queue for two queuing systems of type G/G/1 with ordinary and Shifted hyperexponential and erlangian Input distributions. Method. To solve this problem, we used the classical method of spectral decomposition of the solution of the Lindley integral equation. This method allows to obtaining a solution for the average waiting time for systems under consideration in a closed form. The method of spectral decomposition of the solution of the Lindley integral equation plays an important role in the theory of systems G/G/1. For the practical application of the results obtained, the well-known method of moments of probability theory is used. Results. The spectral decompositions of the solution of the Lindley integral equation for a pair of dual systems are for the first time received, with the help of which the formulas for the average waiting time in a closed form are derived. Conclusions. The spectral expansions of the solution of the Lindley integral equation for the systems under consideration are obtained and with their help the formulas for the average waiting time in the queue for these systems in a closed form are derived. It is shown that in systems with a time lag, the average waiting time is less than in conventional systems The obtained formula for the average waiting time expands and complements the well-known queuing theory incomplete formula for the average waiting time for G/G/1 systems with arbitrary laws of the Input flow distribution and service time. This approach allows us to calculate the average latency for these systems in mathematical packages for a wide range of traffic parameters. All other characteristics of the systems are derived from the waiting time. In addition to the average waiting time, such an approach makes it possible to determine also moments of higher orders of waiting time. Given the fact that the packet delay variation (jitter) in telecommunications is defined as the spread of the waiting time from its average value, the jitter can be determined through the variance of the waiting time. The results are published for the first time.
-
COMPARATIVE ANALYSIS OF TWO QUEUING SYSTEMS M/HE2/1 WITH ORDINARY AND WITH THE Shifted Input DISTRIBUTIONS
Radio Electronics Computer Science Control, 2019Co-Authors: V. N. Tarasov, N. F. BakharevaAbstract:Context. In the queueing theory, studies of particular systems of the M/G/1 type are relevant in that they are still actively used in the modern theory of teletraffic. The problem of finding a solution for the mean waiting time in a queue in the closed form of two systems with ordinary and Shifted exponential and hypererlangian Input distributions is considered. Objective. Obtaining a solution for the main system characteristic – for the average waiting time in a queue for two queuing systems of type M/G/1 and G/G/1 with conventional and offset exponential and hypererlangian Input distributions. Method. To solve this problem, we use the classical method of spectral decomposition of the solution of the Lindley integral equation. This method allows to obtain a solution for the average waiting time for the systems under consideration in closed form. The method of spectral decomposition of the solution of the Lindley integral equation plays an important role in the theory of systems G/G/1. For the practical application of the results obtained, the well-known method of moments of probability theory is used. Results. Spectral decompositions of the solution of an integral equation of Lindley for couple of systems by means of which formulas for the average time of waiting in queue in the closed form are received. The Shifted exponential distribution transforms the system M/G/1 into the system G/G/1. Conclusions. The spectral decompositions of the solution of the Lindley integral equation for the systems under consideration are obtained and with their help, the formulas for the average waiting time in the queue for these systems in a closed form are derived. These expressions expand and complement the known queuing theory formulas for the average waiting time for M/G/1 and G/G/1 systems with arbitrary laws of Input flow and service time distributions. This approach allows us to calculate the average latency for these systems in mathematical packages for a wide range of traffic parameters. All other characteristics of the systems are derived from the waiting time. In addition to the average waiting time, such an approach makes it possible to determine also moments of higher orders of waiting time. Given the fact that the packet delay variation (jitter) in telecommunications is defined as the spread of the waiting time from its average value, the jitter can be determined through the variance of the waiting time. The method of spectral decomposition of the solution of the Lindley integral equation for the systems under consideration makes it possible to obtain a solution in a closed form and these solutions are published for the first time.
-
comparative analysis of two queuing systems m he2 1 with ordinary and with the Shifted Input distributions
Radio Electronics Computer Science Control, 2019Co-Authors: V. N. Tarasov, N. F. BakharevaAbstract:Context. In the queueing theory, studies of particular systems of the M/G/1 type are relevant in that they are still actively used in the modern theory of teletraffic. The problem of finding a solution for the mean waiting time in a queue in the closed form of two systems with ordinary and Shifted exponential and hypererlangian Input distributions is considered. Objective. Obtaining a solution for the main system characteristic – for the average waiting time in a queue for two queuing systems of type M/G/1 and G/G/1 with conventional and offset exponential and hypererlangian Input distributions. Method. To solve this problem, we use the classical method of spectral decomposition of the solution of the Lindley integral equation. This method allows to obtain a solution for the average waiting time for the systems under consideration in closed form. The method of spectral decomposition of the solution of the Lindley integral equation plays an important role in the theory of systems G/G/1. For the practical application of the results obtained, the well-known method of moments of probability theory is used. Results. Spectral decompositions of the solution of an integral equation of Lindley for couple of systems by means of which formulas for the average time of waiting in queue in the closed form are received. The Shifted exponential distribution transforms the system M/G/1 into the system G/G/1. Conclusions. The spectral decompositions of the solution of the Lindley integral equation for the systems under consideration are obtained and with their help, the formulas for the average waiting time in the queue for these systems in a closed form are derived. These expressions expand and complement the known queuing theory formulas for the average waiting time for M/G/1 and G/G/1 systems with arbitrary laws of Input flow and service time distributions. This approach allows us to calculate the average latency for these systems in mathematical packages for a wide range of traffic parameters. All other characteristics of the systems are derived from the waiting time. In addition to the average waiting time, such an approach makes it possible to determine also moments of higher orders of waiting time. Given the fact that the packet delay variation (jitter) in telecommunications is defined as the spread of the waiting time from its average value, the jitter can be determined through the variance of the waiting time. The method of spectral decomposition of the solution of the Lindley integral equation for the systems under consideration makes it possible to obtain a solution in a closed form and these solutions are published for the first time.
-
QUEUEING SYSTEMS WITH DELAY
Radio Electronics Computer Science Control, 2019Co-Authors: V. N. TarasovAbstract:Context. In the queuing theory of a research of the G/G/1 systems are relevant because it is impossible to receive decisions for the average waiting time in queue in a final form in case of arbitrary laws of distributions of an Input flow and service time. Therefore, the study of such systems for particular cases of Input distributions is important. The problem of deriving solutions for the average waiting time in a queue in closed form for systems with distributions Shifted to the right from the zero point is considered. Objective. Getting solutions for the main characteristics of the systems – the average waiting time of requirements in the queue for queuing systems (QS) of type G/G/1 with Shifted Input distributions. Methods. To solve this problem, we used the classical method of spectral decomposition of the solution of the Lindley integral equation. This method allows to obtaining a solution for the average waiting time for two systems under consideration in a closed form. The method of spectral decomposition of the solution of the Lindley integral equation plays an important role in the theory of systems G/G/1. For the practical application of the results obtained, the well-known method of moments of probability theory is used. Results. For the first time, spectral expansions are obtained for the solution of the Lindley integral equation for systems with delay, which are used to derive formulas for the average waiting time in a queue in closed form. Conclusions. It is shown that in systems with delay, the average waiting time is less than in in the usual systems. The obtained formula for the average waiting time expands and complements the well-known queuing theory incomplete formula for the average waiting time for G/G/1 systems. This approach allows us to calculate the average latency for these systems in mathematical packages for a wide range of traffic parameters. In addition to the average waiting time, such an approach makes it possible to determine also moments of higher orders of waiting time. Given the fact that the packet delay variation (jitter) in telecommunications is defined as the spread of the waiting time from its average value, the jitter can be determined through the variance of the waiting time.
O. Kocharovskaya - One of the best experts on this subject based on the ideXlab platform.
-
Radiation burst from a single {gamma}-photon field
Physical Review A, 2011Co-Authors: R. N. Shakhmuratov, Farit G. Vagizov, O. KocharovskayaAbstract:The radiation burst from a single {gamma}-photon field interacting with a dense resonant absorber is studied theoretically and experimentally. This effect was discovered for the fist time by P. Helisto et al.[Phys. Rev. Lett. 66, 2037 (1991)] and it was named the ''gamma echo''. The echo is generated by a 180 Degree-Sign phase shift of the incident radiation field, attained by an abrupt change of the position of the absorber with respect to the radiation source during the coherence time of the photon wave packet. Three distinguishing cases of the gamma echo are considered; i.e., the photon is in exact resonance with the absorber, close to resonance (on the slope of the absorption line), and far from resonance (on the far wings of the resonance line). In resonance the amplitude of the radiation burst is two times larger than the amplitude of the Input radiation field just before its phase shift. This burst was explained by Helisto et al. as a result of constructive interference of the coherently scattered field with the phase-Shifted Input field, both having almost the same amplitude. We found that out of resonance the scattered radiation field acquires an additional component with almost the same amplitudemore » as the amplitude of the incident radiation field. The phase of the additional field depends on the optical thickness of the absorber and resonant detuning. Far from resonance this field interferes destructively with the phase-Shifted incident radiation field and radiation quenching is observed. Close to resonance the three fields interfere constructively and the amplitude of the radiation burst is three times larger than the amplitude of the Input radiation field.« less
Ramesh Karri - One of the best experts on this subject based on the ideXlab platform.
-
Algorithm-level recomputing with Shifted operands-a register transfer level concurrent error detection technique
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2006Co-Authors: Ramesh KarriAbstract:This paper presents Algorithm-level REcomputing with Shifted Operands (ARESO), which is a new register transfer (RT) level time redundancy-based concurrent error detection (CED) technique. In REcomputing with Shifted Operands (RESO), operations (additions, subtractions, etc.) are carried out twice-once on the basic Input and once on the Shifted Input. Results from these two operations are compared to detect an error. Although using RESO operators in RT-level designs is straightforward, it entails time and area overhead. In contrast, ARESO does not use specialized RESO operators. In ARESO, an algorithm is carried out twice-once on the basic Input and once on the Shifted Input. Results from these two algorithm-level instantiations are compared to detect an error. By operating at the algorithm level, ARESO exploits RT-level scheduling, pipelining, operator chaining, and multicycling to incorporate user-specified error detection latencies. ARESO supports hardware versus performance versus error detection latency tradeoffs. The authors validated ARESO on practical design examples using the Synopsys Behavior Compiler (BC). An industry standard behavioral synthesis system.
-
ITC - Algorithm level re-computing with Shifted operands-a register transfer level concurrent error detection technique
Proceedings International Test Conference 2000 (IEEE Cat. No.00CH37159), 1Co-Authors: Ramesh KarriAbstract:Re-computing with Shifted operands (RESO) is a logic level time redundancy based concurrent error detection (CED) technique. In RESO, logic level operations (and, nand, etc) are carried out twice-once on the basic Input and once on the Shifted Input. Results from these two operations are compared to detect an error. Although using RESO operators in register transfer level (RTL) designs is straightforward, it entails time and area overhead. We developed an RTL CED technique called algorithm level re-computing with Shifted operands (ARESO). ARESO does not use specialized RESO operators. Rather, it exploits RTL scheduling, pipelining, operator chaining, and multi-cycling to incorporate user specified error detection latencies. ARESO supports hardware vs. performance vs. error detection latency trade-offs. ARESO has been validated on practical design examples using Synopsys Behavior Compiler.
R. N. Shakhmuratov - One of the best experts on this subject based on the ideXlab platform.
-
Radiation burst from a single {gamma}-photon field
Physical Review A, 2011Co-Authors: R. N. Shakhmuratov, Farit G. Vagizov, O. KocharovskayaAbstract:The radiation burst from a single {gamma}-photon field interacting with a dense resonant absorber is studied theoretically and experimentally. This effect was discovered for the fist time by P. Helisto et al.[Phys. Rev. Lett. 66, 2037 (1991)] and it was named the ''gamma echo''. The echo is generated by a 180 Degree-Sign phase shift of the incident radiation field, attained by an abrupt change of the position of the absorber with respect to the radiation source during the coherence time of the photon wave packet. Three distinguishing cases of the gamma echo are considered; i.e., the photon is in exact resonance with the absorber, close to resonance (on the slope of the absorption line), and far from resonance (on the far wings of the resonance line). In resonance the amplitude of the radiation burst is two times larger than the amplitude of the Input radiation field just before its phase shift. This burst was explained by Helisto et al. as a result of constructive interference of the coherently scattered field with the phase-Shifted Input field, both having almost the same amplitude. We found that out of resonance the scattered radiation field acquires an additional component with almost the same amplitudemore » as the amplitude of the incident radiation field. The phase of the additional field depends on the optical thickness of the absorber and resonant detuning. Far from resonance this field interferes destructively with the phase-Shifted incident radiation field and radiation quenching is observed. Close to resonance the three fields interfere constructively and the amplitude of the radiation burst is three times larger than the amplitude of the Input radiation field.« less
N. F. Bakhareva - One of the best experts on this subject based on the ideXlab platform.
-
COMPARATIVE ANALYSIS OF TWO QUEUING SYSTEMS M/HE2/1 WITH ORDINARY AND WITH THE Shifted Input DISTRIBUTIONS
Radio Electronics Computer Science Control, 2019Co-Authors: V. N. Tarasov, N. F. BakharevaAbstract:Context. In the queueing theory, studies of particular systems of the M/G/1 type are relevant in that they are still actively used in the modern theory of teletraffic. The problem of finding a solution for the mean waiting time in a queue in the closed form of two systems with ordinary and Shifted exponential and hypererlangian Input distributions is considered. Objective. Obtaining a solution for the main system characteristic – for the average waiting time in a queue for two queuing systems of type M/G/1 and G/G/1 with conventional and offset exponential and hypererlangian Input distributions. Method. To solve this problem, we use the classical method of spectral decomposition of the solution of the Lindley integral equation. This method allows to obtain a solution for the average waiting time for the systems under consideration in closed form. The method of spectral decomposition of the solution of the Lindley integral equation plays an important role in the theory of systems G/G/1. For the practical application of the results obtained, the well-known method of moments of probability theory is used. Results. Spectral decompositions of the solution of an integral equation of Lindley for couple of systems by means of which formulas for the average time of waiting in queue in the closed form are received. The Shifted exponential distribution transforms the system M/G/1 into the system G/G/1. Conclusions. The spectral decompositions of the solution of the Lindley integral equation for the systems under consideration are obtained and with their help, the formulas for the average waiting time in the queue for these systems in a closed form are derived. These expressions expand and complement the known queuing theory formulas for the average waiting time for M/G/1 and G/G/1 systems with arbitrary laws of Input flow and service time distributions. This approach allows us to calculate the average latency for these systems in mathematical packages for a wide range of traffic parameters. All other characteristics of the systems are derived from the waiting time. In addition to the average waiting time, such an approach makes it possible to determine also moments of higher orders of waiting time. Given the fact that the packet delay variation (jitter) in telecommunications is defined as the spread of the waiting time from its average value, the jitter can be determined through the variance of the waiting time. The method of spectral decomposition of the solution of the Lindley integral equation for the systems under consideration makes it possible to obtain a solution in a closed form and these solutions are published for the first time.
-
comparative analysis of two queuing systems m he2 1 with ordinary and with the Shifted Input distributions
Radio Electronics Computer Science Control, 2019Co-Authors: V. N. Tarasov, N. F. BakharevaAbstract:Context. In the queueing theory, studies of particular systems of the M/G/1 type are relevant in that they are still actively used in the modern theory of teletraffic. The problem of finding a solution for the mean waiting time in a queue in the closed form of two systems with ordinary and Shifted exponential and hypererlangian Input distributions is considered. Objective. Obtaining a solution for the main system characteristic – for the average waiting time in a queue for two queuing systems of type M/G/1 and G/G/1 with conventional and offset exponential and hypererlangian Input distributions. Method. To solve this problem, we use the classical method of spectral decomposition of the solution of the Lindley integral equation. This method allows to obtain a solution for the average waiting time for the systems under consideration in closed form. The method of spectral decomposition of the solution of the Lindley integral equation plays an important role in the theory of systems G/G/1. For the practical application of the results obtained, the well-known method of moments of probability theory is used. Results. Spectral decompositions of the solution of an integral equation of Lindley for couple of systems by means of which formulas for the average time of waiting in queue in the closed form are received. The Shifted exponential distribution transforms the system M/G/1 into the system G/G/1. Conclusions. The spectral decompositions of the solution of the Lindley integral equation for the systems under consideration are obtained and with their help, the formulas for the average waiting time in the queue for these systems in a closed form are derived. These expressions expand and complement the known queuing theory formulas for the average waiting time for M/G/1 and G/G/1 systems with arbitrary laws of Input flow and service time distributions. This approach allows us to calculate the average latency for these systems in mathematical packages for a wide range of traffic parameters. All other characteristics of the systems are derived from the waiting time. In addition to the average waiting time, such an approach makes it possible to determine also moments of higher orders of waiting time. Given the fact that the packet delay variation (jitter) in telecommunications is defined as the spread of the waiting time from its average value, the jitter can be determined through the variance of the waiting time. The method of spectral decomposition of the solution of the Lindley integral equation for the systems under consideration makes it possible to obtain a solution in a closed form and these solutions are published for the first time.