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Glover and Young, References [4] and [8], respectively, present convergent primal integer programming algorithms. The algorithm outlined in Young's paper (which was deliberately specialized) is shown to be a special case of the Glover algorithm under his acceptable source row selection, Rule 1.  相似文献   
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An algorithm, based upon dynamic programming, is developed for a class of fixed-cost cargo loading problems. The problems can be formulated as integer programming problems, but cannot be efficiently solved as such because of computational difficulties. The algorithm developed has proved to be very efficient in an actual operations research study involving over 500 different cargo items, more than 40 possible stops and several types of transportation vehicles. A numerical illustration is provided.  相似文献   
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Australia is a geographically large country, with the world's longest national coastline to defend, but a relatively small economy of some 17.5 million people. Since World War II, Australia has faced the dilemma of how to structure defence policy in the absence of an identifiable threat. Its policy of self‐reliance aims to permit Australia to conduct defensive operations in the event of low/medium level threats without depending immediately on its allies. This is to be achieved through the technological sophistication of defence equipment, a highly professional but small defence force and local industry support.

The burden of defence, measured as the share of defence outlay in GDP declined from about 3% in 1971–72 to about 2.3% in 1993–94. It has been the Government's policy to encourage the development of local defence‐related industry, in particular in areas such as: electronics/optics; communications and information technology; aerospace; shipbuilding and repair, munitions; and land vehicles. However, defence procurement has a small impact on the Australian economy as a whole.  相似文献   
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In this paper we change the structure of the basic conflict model. This makes it possible to found an economic theory of war and peace. Apart from few exceptions there exist no peace equilibria in the related literature of conflict theory. The aim of the paper is to fill this gap, because most parts of the world live in peace. Further we show that negotiations are possible to avoid a war. The main result is that war breaks out only if the distribution of resources and/or the effectiveness of weapons is sufficiently unequal.  相似文献   
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In this paper, we introduce partially observable agent‐intruder games (POAIGs). These games model dynamic search games on graphs between security forces (an agent) and an intruder given possible (border) entry points and high value assets that require protection. The agent faces situations with dynamically changing, partially observable information about the state of the intruder and vice versa. The agent may place sensors at selected locations, while the intruder may recruit partners to observe the agent's movement. We formulate the problem as a two‐person zero‐sum game, and develop efficient algorithms to compute each player's optimal strategy. The solution to the game will help the agent choose sensor locations and design patrol routes that can handle imperfect information. First, we prove the existence of ?‐optimal strategies for POAIGs with an infinite time horizon. Second, we introduce a Bayesian approximation algorithm to identify these ?‐optimal strategies using belief functions that incorporate the imperfect information that becomes available during the game. For the solutions of large POAIGs with a finite time horizon, we use a solution method common to extensive form games, namely, the sequence form representation. To illustrate the POAIGs, we present several examples and numerical results.  相似文献   
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We consider the problem of optimally maintaining a stochastically degrading, single‐unit system using heterogeneous spares of varying quality. The system's failures are unannounced; therefore, it is inspected periodically to determine its status (functioning or failed). The system continues in operation until it is either preventively or correctively maintained. The available maintenance options include perfect repair, which restores the system to an as‐good‐as‐new condition, and replacement with a randomly selected unit from the supply of heterogeneous spares. The objective is to minimize the total expected discounted maintenance costs over an infinite time horizon. We formulate the problem using a mixed observability Markov decision process (MOMDP) model in which the system's age is observable but its quality must be inferred. We show, under suitable conditions, the monotonicity of the optimal value function in the belief about the system quality and establish conditions under which finite preventive maintenance thresholds exist. A detailed computational study reveals that the optimal policy encourages exploration when the system's quality is uncertain; the policy is more exploitive when the quality is highly certain. The study also demonstrates that substantial cost savings are achieved by utilizing our MOMDP‐based method as compared to more naïve methods of accounting for heterogeneous spares.  相似文献   
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