Todinov, M: Flow Networks

1. FLOW NETWORKS - EXISTING ANALYSIS APPROACHES AND LIMITATIONS

2.  FLOW NETWORKS AND PATHS. BASIC CONCEPTS, CONVENTIONS AND ALGORITHMS

3. KEY CONCEPTS, RESULTS AND ALGORITHMS RELATED TO STATIC FLOW NETWORKS

 4. MAXIMISING THE THROUGHPUT FLOW IN SINGLE COMMODITY AND MULTI-COMMODITY NETWORKS. REMOVING PARASITIC DIRECTED LOOPS OF FLOW IN NETWORKS OPTIMISED BY CLASSICAL ALGORITHMS. 5.  NETWORKS WITH DISTURBED FLOWS. DUAL NETWORK THEOREMS FOR NETWORKS WITH DISTURBED FLOWS. REOPTIMISING THE POWER FLOWS IN ACTIVE POWER NETWORKS IN REAL TIME 6. THE DUAL NETWORK THEOREM FOR STATIC FLOW NETWORKS AND ITS APPLICATION FOR MAXIMISING THE THROUGHPUT FLOW

7. RELIABILITY OF THE THROUGHPUT FLOW. ALGORITHMS FOR DETERMINING THE THROUGHPUT FLOW RELIABILITY. 8. RELIABILITY NETWORKS

9. PRODUCTION AVAILABILITY OF REPAIRABLE FLOW NETWORKS

10. LINK BETWEEN TOPOLOGY, SIZE AND PERFORMANCE OF REPAIRABLE FLOW NETWORKS

11. TOPOLOGY OPTIMISATION OF REPAIRABLE FLOW NETWORKS AND RELIABILITY NETWORKS 12. REPAIRABLE NETWORKS WITH MERGING FLOWS

13. FLOW OPTIMISATION IN NON-RECONFIGURABLE REPAIRABLE FLOW NETWORKS

14. VIRTUAL ACCELERATED LIFE TESTING OF REPAIRABLE FLOW NETWORKS

Prof. Todinov's background is Engineering, Mathematics and Computer Science. He holds a PhD and a higher doctorate (DEng) from the University of Birmingham. His name is associated with key results in the areas: Reliability and Risk, Flow networks, Probability, Statistics of inhomogeneous media, Theory of phase transformations, Residual stresses and Probabilistic fatigue and fracture.

M.Todinov pioneered research on: the theory of repairable flow networks and networks with disturbed flows, risk-based reliability analysis - driven by the cost of system failure, fracture initiated by flaws in components with complex shape, reliability dependent on the relative configurations of random variables and optimal allocation of a fixed budget to achieve a maximal risk reduction.

A sample of M.Todinov's results include: introducing the hazard stress function for modelling the probability of failure of materials and deriving the correct alternative of the Weibull model; stating a theorem regarding the exact upper bound of properties from multiple sources and a theorem regarding variance of a distribution mixture; the formulation and proof of the necessary and sufficient conditions of the Palmgren-Miner rule and Scheil's additivity rule; deriving the correct alternative of the Johnson-Mehl-Avrami-Kolmogorov equation and stating the dual network theorems for static flows networks and networks with disturbed flows.