Here Pij denote the one step transition probability. The TPM of a markov chain is P=(Pij) where Pij≥0 aŶd ¦Pij 1. Define Markov process A random process in which the future value depends only on the present value but not on the past value is called Markov process.ĭefine Transition probability matrix. A random process X(t) is called WSS if E=constant and Rxx;t,t+τͿ is a fuŶctioŶ of τ. Define stationary process A random process is called stationary if all its statistical properties do not change with time. In discrete random process, X is In discrete random process, X is discrete and the time set is continuous. The maximum temperature of a place at (0,t). In Continuous random process, X and Time set T are continuous. Define (i) Continuous time random process (2) Discrete random process. Discrete Random sequence 2.Ĭontinuous Random sequence 3.
There are four types of random process 1.
Define random process and its classification Random process is a function of time and the outcomes of a random experiment. MA6453 PROBABILITY AND QUEUEING THEORY QUESTION BANK UNIT-III 2-marks RANDOM PROCESSES 1.
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The theory enables mathematical analysis of several related processes, including arriving at the (back of the) queue, waiting in the queue (essentially a storage process), and being served at the front of the queue. Queueing theory is the mathematical study of waiting lines. The concept has been given an exact meaning in, which is used extensively in such as, / and to draw conclusions about the likelihood of potential events and the underlying mechanics of. Probability is a way of expressing knowledge or belief that an will occur or has occurred. › 〓〓〓 Pqt Balaji Book Pdf Free Download 〓〓〓
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