Reference: | [1] B. Hajek (1982). Hitting time and occupation time bounds implied by drift analysis with applications. Adv. Appl. Prob., 14(3), pp.502-525. [2] D. Bertsimas and D. Nakazato (1995). The distributional Little`s law and its applications. Operations Research, 43(2), pp. 298-310. [3] D. J. Bertsimas and G. Van Ryzin (1991). A stochastic and dynamic vehicle routing problem in the Euclidean plane. Operations Research, 39(4), pp.601-615. [4] D. J. Bertsimas and G. Van Ryzin (1993). Stochastic and dynamic vehicle routing with general demand and interarrival time distributions. Advances in Applied Probability, pp.947-978. [5] D. L. Iglehart and W. Whitt (1970). Multiple Channel Queues in heavy traffic, I. Adv. Appi. Prob, 2, pp.150-177 [6] E. Leonardi, M. Mellia, F. Neri and M. Ajmone Marsan (2001). On the stability of input-queued switches with speed-up. Networking, IEEE/ACM Transactions on, 9(1), pp.104-118. [7] F. Jensen and N. E. Petersen (1982). Burn-in: an engineering approach to the design and analysis of burn-in procedures. [8] H.N. Psaraftis (1988). Dynamic vehicle routing problems. Vehicle routing: Methods and studies, 16, pp. 223-248. [9] J.G. Dai (1995). On positive Harris recurrence of multiclass queueing networks: a unified approach via fluid limit models. The Annals of Applied Probability, 5(1), pp.49-77. [10] J. Walrand (1988). Introduction to queueing networks. Englewood Cliffs, Prentice Hall. [11] R. Pemantle and J.S. Rosenthal (1999). Moment conditions for a sequence with negative drift to be uniformly bounded in . Stochastic Processes and their Applications, 82(1), pp.143-155. [12] R.W. Wolff (1982). Poisson arrivals see time averages. Operations Research, 30(2), pp. 223-231. [13] S. L. Bell and R. J. Williams (2001). Dynamic scheduling of a system with two parallel servers in heavy traffic with resource pooling: asymptotic optimality of a threshold policy. The Annals of Applied Probability, 11(3), pp.608-649. [14] S. P. Meyn (1996). Stability and optimization of queueing networks and their fluid models. The Mathematics of Stochastic Manufacturing Systems, pp.17-21. [15] Y. C. Hung and C.C. Chang (2008). Dynamic scheduling for switched processing systems with substantial service-mode switching times. Queueing systems, 60(1-2), pp.87-109. [16] Y. C. Hung and G. Michailidis (2008). Modeling, scheduling, and simulation of switched processing systems. ACM Transactions on Modeling and Computer Simulation (TOMACS), 18(3), 12. [17] Y. C. Hung and G. Michailidis (2012). Stability and control of acyclic stochastic processing networks with shared resources. Automatic Control, IEEE Transactions on, 57(2), pp.489-494. |