V. Anantharam and T. Konstantopoulos, Stationary solutions of stochastic recursions describing discrete event systems, Proceedings of 1994 33rd IEEE Conference on Decision and Control, pp.1481-1486, 1994.
DOI : 10.1109/CDC.1994.411237

S. Asmussen, On Coupling and Weak Convergence to Stationarity, The Annals of Applied Probability, vol.2, issue.3, pp.739-751, 1992.
DOI : 10.1214/aoap/1177005657

F. Baccelli, Ergodic Theory of Stochastic Petri Networks, The Annals of Probability, vol.20, issue.1, pp.375-396, 1992.
DOI : 10.1214/aop/1176989932
URL : https://hal.archives-ouvertes.fr/inria-00075521

F. Baccelli, G. Cohen, G. J. Olsder, and J. P. Quadrat, Synchronization and Linearity, 1992.

F. Baccelli and Z. Liu, On a class of stochastic recursive equations arising in queueing theory, Annals of Probability, vol.21, issue.1, pp.350-374, 1992.

N. Bambos, On closed ring queueing networks, Journal of Applied Probability, vol.31, issue.04, pp.979-995, 1992.
DOI : 10.1214/aop/1176996798

A. Borovkov, Asymptotic Methods in Queueing Theory, 1984.

A. Borovkov, Limit theorems for queueing networks. I. Theory Prob, Appl, vol.31, pp.413-427, 1986.

A. Borovkov, Limit theorems for queueing networks. II. Theory Prob, Appl, vol.32, pp.257-272, 1988.

A. Borovkov and S. Foss, Stochastically recursive sequences and their generalizations, Siberian Adv. in Math, vol.2, pp.16-81, 1992.

A. Borovkov and S. Foss, Two ergodicity criteria for stochastically recursive sequences, Acta Applicandae Mathematicae, vol.19, issue.1, pp.125-134, 1994.
DOI : 10.1007/BF00994261

P. Bougerol and J. Lacroix, Products of Random Matrices with Applications to Schrödinger Operators, Progress in Probability and Statistics. Birkäuser, 1985.

M. Brilman and J. M. Vincent, Synchronisation by resources sharing : a performance analysis, 1995.

G. Cohen, D. Dubois, J. P. Quadrat, and M. Viot, Analyse du comportement périodique des systèmes de production par la théorie des dio¨?desdio¨?des, 1983.

G. Cohen, D. Dubois, J. P. Quadrat, and M. Viot, A linear system-theoretic view of discreteevent processes and its use for performance evaluation in manufacturing, IEEE Trans. Automatic Control, pp.30210-220, 1985.

J. Cohen, Subadditivity, Generalized Products of Random Matrices and Operations Research, SIAM Review, vol.30, issue.1, pp.69-86, 1988.
DOI : 10.1137/1030002

R. Cuninghame-green, Describing Industrial Processes with Interference and Approximating Their Steady-State Behaviour, Journal of the Operational Research Society, vol.13, issue.1, pp.95-100, 1962.
DOI : 10.1057/jors.1962.10

R. Cuninghame-green, Minimax Algebra, volume 166 of Lecture Notes in Economics and Mathematical Systems, 1979.

H. Furstenberg and H. Kesten, Products of Random Matrices, The Annals of Mathematical Statistics, vol.31, issue.2, pp.457-469, 1960.
DOI : 10.1214/aoms/1177705909

S. Gaubert, On semigroups of matrices in the (max, +) algebra, 1994.
URL : https://hal.archives-ouvertes.fr/inria-00074501

S. Gaubert and J. Mairesse, Task resource models and (max, +) automata, 1995.
DOI : 10.1017/CBO9780511662508.009
URL : https://hal.archives-ouvertes.fr/hal-00165914

P. Glasserman and D. Yao, Monotone Structure in Discrete Event Systems., Biometrics, vol.51, issue.3, 1994.
DOI : 10.2307/2533035

M. Gondran and M. Minoux, Valeurs propres et vecteurs propres dans les dio¨?desdio¨?des et leur interprétation en théorie des graphes, EDF, Bulletin de la Direction des Etudes et Recherches, Serie C, Mathématiques Informatique, pp.25-41, 1977.

W. Gordon and G. Newell, Closed Queuing Systems with Exponential Servers, Operations Research, vol.15, issue.2, pp.254-265, 1967.
DOI : 10.1287/opre.15.2.254

R. Griffiths, Frenkel-Kontorova models of commensurate-incommensurate phase transitions, Fundamental problems in statistical mechanics VII, 1990.

H. Kaspi and A. Mandelbaum, Regenerative closed queueing networks, Stochastics and Stochastic Reports, vol.42, issue.3, pp.239-258, 1992.
DOI : 10.1080/17442509208833777

H. Kaspi and A. Mandelbaum, On Harris Recurrence in Continuous Time, Mathematics of Operations Research, vol.19, issue.1, 1994.
DOI : 10.1287/moor.19.1.211

R. Loynes, The stability of a queue with non-independent interarrival and service times, Proc. Camb, pp.497-520, 1962.

J. Mairesse, Stabilité des systèmessystèmes`systèmesàsystèmesàévénements discrets stochastiques. Approche algébrique, 1995.

S. Meyn and R. Tweedie, Markov Chains and Stochastic Stability, 1993.

G. J. Olsder, J. Resing, R. De-vries, M. Keane, and G. Hooghiemstra, Discrete event systems with stochastic processing times, IEEE Transactions on Automatic Control, vol.35, issue.3, pp.299-302, 1990.
DOI : 10.1109/9.50340

J. Resing, R. De-vries, G. Hooghiemstra, M. Keane, and G. J. Olsder, Asymptotic behavior of random discrete event systems, Proc. and Applications, pp.195-216, 1990.

S. Yakovenko and L. Kontorer, Nonlinear semigroups and infinite horizon optimization, Adv. in Sov. Math. AMS, vol.13, 1992.