In this thesis, research literature is reviewed in the field of production planning and inventory control. The scope of the work focuses on the optimal policies and algorithm analysis for stochastic and deterministic models from production planning and inventory control. Specifically, three fundamental mathematical models are investigated in detail. For the single product periodic review problem with setup costs and equal capacity constraint, this study considers the model where inventory cost function is convex, which has not been investigated deeply in the literature earlier. The optimal policy with property of X-Y band is characterized. The average computation time of newly designed algorithm grows more or less doubly with the periodic numbers, which is more efficient than the others for solving such a model so far. This study also considers a particular model in stochastic multiple product flexible manufacturing system, where the respective model parameter is the same for each product. The obtained results particularly characterize the optimal hedging point policy, and also give a chance to observe the order policy of the general model which has been an open problem for about four decades. Further, parameter analysis is conducted for the uncapacitated economic lot-sizing problem where backlogging is allowed, and some new results are achieved. For instance, it is proved that there are critical values for periodic setup and unit production costs respectively. If the setup cost or unit production cost is higher than their respective critical value, the period will be a production period; if it is equal to or lower than the value, the period will be a non-production period. Recommendations for future research in this field are also proposed. Specifically, a hypothesis is suggested to extend the special stochastic multiple-product model into a general one.

No abstract

As the low safety production level and efficiency greatly restrict the efficient functioning of coal mine production logistics in our country, it is urgently necessary to combine with the complex feature of coal mine production logistics to evaluate its internal control. First, on the basis of management entropy and management dissipative theory, this paper expounds the evolution rules of coal mine production logistics internal control. Second, establish a set of index system reflecting the internal control system of coal mine production logistics and build the evaluation model of coal mine production logistics internal control based on management entropy. At last, verify the applicability of the model through empirical research, and provide a theoretical basis for the comprehensive analysis of the whole operation status and internal control problems in coal mine production logistics system.

Vehicle-to-vehicle (V2V) communication has been widely researched recently since the potential abilities of improving traffic efficiency and reducing accident rates. Since the high vehicle mobility, a huge number of accidents happen on highway. So, it is necessary to study the highway channel characteristic to ensure the driving safety. Due to the high speed of vehicles, there exists serious nonstationarity of highway channel, leading to the dissatisfaction of the wide-scene stationary uncorrelated scattering (WSSUS) assumption. Thus, a distant channel model is needed. In this paper, we carried out a measurement campaign of highway channel. Based on the measured data, we conduct a birth and death channel model, which is depicted by Markov chain. We propose the first-order model and the second-order model, respectively. The steady probabilities and transition probabilities are given. To compare the two models, we utilize the multipath living time and Kullback-Leibler (KL) distance. What is more, autocorrelation function (ACF) is used to describe the nonstationarity.