Let P denote the matrix of one-step transition probabilities Pij where i ¼ 1; 2; . . . ; kz; j ¼ 1; 2; . . . ; kz, then the long-term proportion of time that a picker will be at bin i at the completion of an order is the unique non-negative solution of
Let P denote the matrix of one-step transition probabilities Pijwhere i ¼ 1; 2; . . . ; kz; j ¼ 1; 2; . . . ; kz, then the long-term proportionof time that a picker will be at bin i at the completion of an order isthe unique non-negative solution of