Sample average approximation of expected value constrained stochastic programs
We propose a sample average approximation (SAA) method for stochastic programming problems with expected value constraints. Such problems arise, for example, in portfolio selection with constraints on conditional value-at-risk (CVaR). We provide a ...
Mechanism design for a multicommodity flow game in service network alliances
We study a collaborative multicommodity flow game where individual players own capacity on the edges of the network and share this capacity to deliver commodities. We present membership mechanisms, by adopting a rationality based approach using notions ...
An answer to a question by Herings et al.
We answer an open question by Herings et al. [J.J. Herings, G. van der Laan, D. Talman, Z. Yang, A fixed point theorem for discontinuous functions, Operations Research Letters 36 (1) (2008) 89-93], by proving that their fixed point theorem for ...
On polynomial cases of the unichain classification problem for Markov Decision Processes
The Unichain classification problem detects whether a finite state and action MDP is unichain under all deterministic policies. This problem is NP-hard. This paper provides polynomial algorithms for this problem when there is a state that is either ...
A note on negative dynamic programming for risk-sensitive control
Negative dynamic programming for risk-sensitive control is studied. Under some compactness and semicontinuity assumptions the following results are proved: the convergence of the value iteration algorithm to the optimal expected total reward, the Borel ...
Kernel density in the study of the strong stability of the M/M/1 queueing system
We use kernel density with correction of boundary effects to study the strong stability of the M/M/1 system after perturbation of arrival flow (respectively service times), to evaluate the proximity of G/M/1 (respectively M/G/1) and M/M/1 systems when ...
Supplier diversification under binomial yield
We consider supplier diversification in an EOQ type inventory setting with multiple suppliers and binomial yields. We characterize the optimal policy for the model and show that, in this case, it does not pay to diversify, in contrast to previous ...
A single supplier-single retailer system with an order-up-to level inventory policy
We consider a two-level vendor-managed system in which external demand occurs only at a retailer and a supplier replenishes the retailer employing an order-up-to S policy over T periods. We present an O(T^3) algorithm to coordinate the system when S is ...
A sample-path approach to the optimality of echelon order-up-to policies in serial inventory systems
We present a new proof of the optimality of echelon order-up-to policies in serial inventory systems, first proved by Clark and Scarf. Our proof is based on a sample-path analysis as opposed to the original proof based on dynamic programming induction.
Newsvendor equations for optimal reorder levels of serial inventory systems with fixed batch sizes
We consider a stochastic serial inventory system with a given fixed batch size per stage and linear inventory holding and penalty costs. For this system, echelon stock (R,nQ) policies are known to be optimal. On the basis of new average costs formulas, ...
The influence of the node criticality relation on some measures of component importance
For different reliability importance measures we prove that the criticality relation between nodes can completely determine the most important component in a system. In particular, we prove that in k-out-of-n systems, the ranking of component ...
An optimal maintenance policy for repairable systems with delayed repairs
This work considers a combined maintenance strategy in which the repair of the system failures is performed only in an interval of time of the working period. The objective of this paper is to find the optimal interval in which the repairs can be ...
The dynamics of asset lifetime under technological change
The variable lifetime of assets is analyzed in a serial replacement problem. Technological change impacts the maintenance cost and new asset cost. The optimal asset lifetime appears to be constant only when both costs decrease with the same rate. We ...
Financing newsvendor inventory
If the cost of borrowing is not too high, the capital-constrained newsvendor borrows funds to procure an amount that is less than would be ideal. The lender charges an interest rate that decreases in the newsvendor's equity. Furthermore, we derived a ...
High-multiplicity cyclic job shop scheduling
We consider the High-Multiplicity Cyclic Job Shop Scheduling Problem. There are two objectives of interest: the cycle time and the flow time. We give several approximation algorithms after showing that a very restricted case is APX-hard.
On-line scheduling with non-crossing constraints
We consider the problem of on-line scheduling with non-crossing constraints. The objective is to minimize the latest completion time. We provide optimal competitive ratio heuristics for the on-line list and on-line time problems with unit processing ...
An improved on-line algorithm for scheduling on two unrestrictive parallel batch processing machines
We consider the problem of on-line scheduling a set of n jobs on two parallel batch processing machines. The objective is to minimize the makespan. We provide an algorithm for the problem that is better than one given in the literature, improving the ...
Batch sizing under learning and forgetting: Steady state characteristics for the constant demand case
We analyze steady-state characteristics of batch production time for a constant-demand lot sizing problem with learning and forgetting in production time. We report a new type of convergence, the alternating convergence, in which the batch production ...
Multigraph realizations of degree sequences: Maximization is easy, minimization is hard
The following minimization problem is shown to be NP-hard: Given a graphic degree sequence, find a realization of this degree sequence as loopless multigraph that minimizes the number of edges in the underlying support graph. The corresponding ...
Bounds on the performance of back-to-front airplane boarding policies
We provide bounds on the performance of back-to-front airplane boarding policies. In particular, we show that no back-to-front policy can be more than 20% better than the policy which boards passengers randomly.
Improved approximation algorithm for the feedback set problem in a bipartite tournament
We present a simple 3-approximation algorithm for the feedback vertex set problem in a bipartite tournament, improving on the approximation ratio of 3.5 achieved by the best previous algorithms.
An approximation algorithm for the wireless gathering problem
The Wireless Gathering Problem is to find an interference-free schedule for data gathering in a wireless network in minimum time. We present a 4-approximate polynomial-time on-line algorithm for this NP-hard problem. We show that no shortest path ...
Optimal bundle pricing with monotonicity constraint
We consider the problem of pricing (digital) items in order to maximize the revenue obtainable from a set of bidders. We suggest a natural monotonicity constraint on bundle prices, show that the problem remains NP-hard, and we derive a PTAS. We also ...
Composition of stable set polyhedra
Barahona and Mahjoub found a defining system of the stable set polytope for a graph with a cut-set of cardinality 2. We extend this result to cut-sets composed of a complete graph minus an edge and use the new theorem to derive a class of facets.
Polymatroids and mean-risk minimization in discrete optimization
We study discrete optimization problems with a submodular mean-risk minimization objective. For 0-1 problems a linear characterization of the convex lower envelope is given. For mixed 0-1 problems we derive an exponential class of conic quadratic valid ...
Finding a bounded mixed-integer solution to a system of dual network inequalities
We show that using max-algebraic techniques it is possible to generate the set of all solutions to a system of inequalities x"i-x"j>=b"i"j, i,j=1,...,n using n generators. This efficient description enables us to develop a pseudopolynomial algorithm ...
A robust approach to the chance-constrained knapsack problem
In this paper, the chance-constrained knapsack problem (CKP) is addressed. Relying on robust optimization, a tractable combinatorial algorithm is proposed to solve approximately CKP. For two specific classes of uncertain knapsack problems, it is proved ...
Cost of capital for incentives on capacity expansion investments
In this paper, the expression for the cost of capital is derived when capacity expansion investments and replacement investments exhibit differences in their effective prices. It is shown that the cost of capital derived by perturbing the optimal stock ...
A projected subgradient method for solving generalized mixed variational inequalities
We consider the projected subgradient method for solving generalized mixed variational inequalities. In each step, we choose an @e"k-subgradient u^k of the function f and w^k in a set-valued mapping T, followed by an orthogonal projection onto the ...